Find the value of x

A. 25°
B. 85°
C. 75°
D. 105°

Answer:

Rhombus

Square

Step-by-step explanation:

Rhombuses and squares have sides that are always congruent.

Answer:

125 students ride their bike to school

Step-by-step explanation:

We can set a proportion.

5 / 32 = x / 800

where x is the number of students out of 100 who ride their bikes.

Cross multiply.

32x = 4000

Divide both sides of the equation by 32.

x = 125

125 students out of 800 students ride their bikes to school.

Answer:

[tex](20 \div 6) \times (36 \times 2) = 3.30 \times 72 = 237.60[/tex]

Answer:

B. 42.

Step-by-step explanation:

x/35 = 30/25

25x = 30*35

x = (30*35)/25

  = 1050/25

  = 42.

The missing values are highlighted in bold, which are approximate to four decimal places (with the exception of B = 90 in problem 3).

Lowercase letters a,b,c are side lengths; Uppercase letters A,B,C are angles opposite the sides mentioned.

The drawings are shown below.

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Explanation:

Problem 1

Use the Law of Cosines to solve for side c

c^2 = a^2 + b^2 - 2*a*b*cos(C)

c^2 = 3^2 + 4^2 - 2*3*4*cos(40)

c^2 = 6.61493337

c = sqrt(6.61493337)

c = 2.57195128

c = 2.5720

Now apply the Law of Sines to find angle A

sin(A)/a = sin(C)/c

sin(A)/3 = sin(40)/2.57195128

sin(A) = 3*sin(40)/2.57195128

sin(A) = 0.74976647

A = arcsin(0.74976647)

A = 48.57015285

A = 48.5702

Once we know two angles of a triangle, we can then subtract their sum from 180 to get the third missing angle.

A+B+C = 180

B = 180 - (A+C)

B = 180 - (48.57015285+40)

B = 91.42984715

B = 91.4298

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Problem 2

Like with the previous problem, we can use the Law of Cosines to solve for the missing side.

b^2 = a^2 + c^2 - 2*a*c*cos(B)

b^2 = 3^2 + 2^2 - 2*3*2*cos(110)

b^2 = 17.10424172

b = sqrt(17.10424172)

b = 4.13572747

b = 4.1357

Now use the Law of Sines to find angle A

sin(A)/a = sin(B)/b

sin(A)/3 = sin(110)/4.13572747

sin(A) = 3*sin(110)/4.13572747

sin(A) = 0.68164014

A = arcsin(0.68164014)

A = 42.9719427

A = 42.9719

Then we can wrap things up like so

A+B+C = 180

C = 180 - (A+B)

C = 180 - (42.9719427+110)

C = 27.0280573

C = 27.0281

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Problem 3

Use the Law of Cosines to find angle A.

a^2 = b^2 + c^2 - 2*b*c*cos(A)

12^2 = 13^2 + 5^2 - 2*13*5*cos(A)

144 = 194 - 130*cos(A)

-130*cos(A) = 144 - 194

-130*cos(A) = -50

cos(A) = (-50)/(- 130)

cos(A) = 0.38461538

A = arccos(0.38461538)

A = 67.38013505

A = 67.3801

We could use the Law of Cosines to find angle B, but I'll use the Law of Sines instead.

sin(A)/a = sin(B)/b

sin(B) = b*sin(A)/a

sin(B) = 13*sin(67.38013505)/12

sin(B) = 0.99999999998574

sin(B) = 1

B = arcsin(1)

B = 90

It turns out we have a 5-12-13 right triangle (though usually c is the longest side instead of b).

Now we could use the Law of Cosines to find angle C, but the steps shown below are much quicker in my opinion that don't involve any trig functions.

A+B+C = 180

C = 180 - (A+B)

C = 180 - (67.38013505 + 90)

C = 22.61986495

C = 22.6199

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Problem 4

The steps will basically be identical to problem 3, but with different numbers of course.

First we need the Law of Cosines to find angle A.

a^2 = b^2 + c^2 - 2*b*c*cos(A)

5^2 = 8^2 + 9^2 - 2*8*9*cos(A)

25 = 145 - 144*cos(A)

-144*cos(A) = 25 - 145

-144*cos(A) = -120

cos(A) = (-120)/(-144)

cos(A) = 0.83333333

A = arccos(0.83333333)

A = 33.55730976

A = 33.5573

Now use the Law of Sines to find angle B.

sin(A)/a = sin(B)/b

sin(B) = b*sin(A)/a

sin(B) = 8*sin(33.55730976)/5

sin(B) = 0.88443328

B = arcsin(0.88443328)

B = 62.18186103

B = 62.1819

Lastly,

A+B+C = 180

C = 180 - (A+B)

C = 180 - (33.55730976 + 62.18186103)

C = 84.26082921

C = 84.2608

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Side notes:

Answer:

9a(9b-10)

Step-by-step explanation:

Answer:10 to the 2nd power

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

3x5=15

15+8=23

23=23

Answer:

True

Step-by-step explanation:

3 x 5 = 15

15 + 8 = 23

Answer: the answer is x+8= 1

Answer:

90 apples

Step-by-step explanation:

1st class did 1/3, 1/3 of 60 is 20, 60-20 is 40, 40 into 2.25 or 2 1/4 = 90 because 40 x 2 = 80 and 1/4 of 40 is 10, 10+80 = 90, so the second class needs 90 apples

Answer:

90 apples

Step-by-step explanation:

First, we need to find 1/3 of the total number of pies, which is the number of pies the first class made. To do this, we divide 60 by 3 (or multiply 60 by 1/3):

60 ÷ 3 = 20

This means the first class made 20 pies and that the second class has to make 40 pies (60 - 20 = 40)

1 pie needs 2 1/4 apples

To find how many apples the second class will need, we must multiply 40 (the number of pies) • 2 1/4 (the number of apples needed for 1 pie)

40 • 2 1/4 = 90

This means 90 apples are needed for the second class to make the remaining pies

Answer:

2x² + 4y²

according to your given information.......

Answer:

Step-by-step explanation:

Question 1:

Question 2:

Question 3:

Can't solve this sorry. :(

Answer:

2 feet is equal to 0.609 meters

One meter is equal to roughly 3.281 feet.

So two feet is less than one meter.

To find how many meters a certain amount of feet is, you divide by 3.281

2 ÷ 3.281 = 0.609

2 feet is equal to 0.609 meters

Answer:

0.61 meter

Step-by-step explanation:

[tex]______________________________________________[/tex]

[tex]\huge\rm{ANSWER:}[/tex]

[tex]\huge\rm{GIVEN:}[/tex]

Change 288 square inches to feet

(Keep in mind that 1 feet equals 12 inches)

[tex]\huge\rm{SOLUTION:}[/tex]

Follow these steps to convert to square feet.

Step 1: Convert an inch to a square inch.

If 1 feet equals 12 inches, then

1 square feet equals (12) inches equals 144 square inches

As a result, 144 square inches equals one square feet.

Step 2: Using the unitary method, we obtain

288 square inches = 288/144 square feet.

288 square inches = 2 square feet

As a result, 288 square inches equals 2 square feet.

[tex]______________________________________________[/tex]

Answer:

b 18÷3=6

Step-by-step explanation:

The fact family contains 3,6and 18

since 3×6=18,18÷6=3and 6×3=18

∴ you need to look for numbers that contain 3,6and18. when you find the number make sure to check that they are not in the question, if it is not in the question then that is your answer.

hope it helps

Answer:

f(0)=3

Step-by-step explanation:

f(0) = -3 x 0 + 3

f(0)=3

Answer:

3:2

Step-by-step explanation:

if they won 3/5 games, then the other 2 were lost so the ratio would be 3:2

Step-by-step explanation:

Permutation is "How many ways can you arrange 'r' from a set of 'n' if the order matters?"

For #7, it would be "how many ways can you pick 2 things out of 6 things when the order matters?"

The steps for this is in the picture.

For #9, you would do the same as #7 and just add -4 to your final answer

Answer:

$91 per ounce

Step-by-step explanation:

If 3 ounces cost $273, we can divide both sides by 3 to find the unit rate. To make this clearer, we use the variable [tex]x[/tex] for ounces. Then, we have the equation

[tex]3x=273[/tex].

Dividing both sides by 3, we have

[tex]x=91[/tex].

The cost of one ounce is $91.

Answer:

6.71 mm

Step-by-step explanation:

Find radius R

Volume = πR²H

4500π = πR²*100

R² = 45

so R = √45 = 3√5 = 6.71 mm

Out of the 40 prizes, 15 prizes were for Kazoos and 35 prizes were for whistle

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the diagram, the ratio is represented, hence:

Number of Kazoos = (3/8) * 40 = 15

Number of whistles = (5/8) * 40 = 35

Out of the 40 prizes, 15 prizes were for Kazoos and 35 prizes were for whistle

Find out more on equation at: https://brainly.com/question/2972832

Answer:

Infinetly many (d)

Step-by-step explanation:

The graphs are the same, so they will all have the same solutions.

hope this helps!

ibrahim

Answer:

I have no clue thats why is got this app

Answer:

57 units³

Step-by-step explanation:

Volume = length • width • height

Fill in the numbers:

V = 3 4/5 • 2 1/2 • 6

I am making them into improper fractions to make it easier:

V = 19/5 • 5/2 • 6

Multiplying the length and the width:

V = 95/10 • 6

Multiplying the height in:

V = 57

Answer:

Supplementary

Step-by-step explanation:

VSW and TSW combine and make 180. Complementary is when they make up to 90

Add total people:

5 + 20 + 40 + 30 + 20 = 115 people

Add people 6-10 to 21-25 = 20 + 20 = 40

Divide the two age ranges by total people:

40/115 = 0.34782609

Multiply by 100 to get percent:

0.34782609 x 100 = 34.782609%  Round off as needed

Answer:7541

Step-by-step explanation:

all you have to do is add the bottom

Answer:

4p

Step-by-step explanation:

you dont have to put multiplication sign when you multiply by variables this is honestly a pretty easy question